The metric (in the `democratic' D3/D3' frame) is [1]}, [2]}:
\(ds^2{=}{-}H^{-1}(dt^2{-}dz^2){+}H\Big [dr^2{+}r^2 (d\theta ^2{+}\cos ^2\theta d\psi ^2{+}\sin ^2\theta d\phi ^2)\Big ]{+}\sqrt{H_1\over H_5}dz^2_{1,2}{+}\sqrt{H_5\over H_1}dz^2_{3,4}\) 
